一种有效公式法求解1~∞型的极限

Propose an effective formula to solve the limit of the type of 1~∞

1~∞型的极限属于不确定型的极限,原有的基本方法是通过将其转化为确定型,然后利用重要极限的推广形式进行求解,过程略显繁琐与复杂。本文通过结合等价无穷小,提出了一种有效公式法来求解1~∞型的极限,使求解过程变得简单、快捷。

1~∞ Belongs to the limit of uncertainty type. The basic method is to transform it into a definite type, and then use the form of the important limit to solve it. The process is a little complicated and complicated. This paper proposes an effective formula to solve the limit of the type of 1~∞, by combining the equivalent infinitesimal, making the solution simple and fast.